168013872 has 80 divisors (see below), whose sum is σ = 519376480. Its totient is φ = 51694848.

The previous prime is 168013871. The next prime is 168013883. The reversal of 168013872 is 278310861.

It is a super-2 number, since 2×168013872² = 56457322368864768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (168013871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9343 + ... + 20574.

It is an arithmetic number, because the mean of its divisors is an integer number (6492206).

Almost surely, 2^168013872 is an apocalyptic number.

168013872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168013872 is an abundant number, since it is smaller than the sum of its proper divisors (351362608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168013872 is a wasteful number, since it uses less digits than its factorization.

168013872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29947 (or 29935 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 168013872 is about 12962.0165097874. The cubic root of 168013872 is about 551.8000220789.

The spelling of 168013872 in words is "one hundred sixty-eight million, thirteen thousand, eight hundred seventy-two".